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Convergence of \(\lambda\)-Bernstein - Kantorovich operators in the \(L_p\)- norm

We show the convergence of \(\lambda\)-Bernstein - Kantorovich operators defined by Acu et al. [J. Ineq. Appl. 2018], for functions in \(L_p[0,1],\, p\geq 1\). We also determine the convergence rate via integral modulus of smoothness.

Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Purshottam N. Agrawal, Behar Baxhaku
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: Publishing House of the Romanian Academy 2024-07-01
Saila:Journal of Numerical Analysis and Approximation Theory
Gaiak:
Sarrera elektronikoa:https://www.ictp.acad.ro/jnaat/journal/article/view/1374
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